The matrix A translates a point to the right 4 units and downward 2 units, and the

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The matrix A translates a point to the right 4 units and downward 2 units, and the matrix B translates a point to the left 3 units and upward 3 units, whereimage


(a) Let X represent the point (1, 1). Predict the result of Y = ABX. Check your prediction. 


(b) Find AB mentally, and then compute AB. 


(c) Would you expect AB = BA? Verify your answer. 


(d) Find (AB)-1 mentally. Explain your reasoning.

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